Arteries do adapt their calibre to the blood flow they're handling, and can realign. It's called collateral perfusion. And it's a not-so-rare finding in coronary heart disease, where occluded arteries are "circumvented" by other vessels, or the regions behind them are supplied from other branches of the coronaries.
But this wouldn't be an option with trigeminal neuralgia.
The formation of collaterals is a slow process, and requires some... ...training, and adaption time. (Also, new arteries are "upscaled" from smaller vessels when you train a muscle). Cutting or ligating or embolizing an artery all of a sudden causes necrosis - which is btw a procedure sometimes used in palliative cancer care, to reduce the size of a tumor or metastasis. So it's a no-go anywhere close to the brain. Or the eyes. Or...
Also, I do know there's a surgical approach to trigeminal neuralgia, where a bit of muscle tissue is interposed between the nerve and the artery suspected / presumed to be compressing it. It often enough works, but it's no 100% thing. So, killing off potentially essential vessels in an attempt to remove a probable cause for another problem isn't the optimal approach. Might be considered as a second- or third-line therapy, but I'm not aware of that. But I'm neither a neurosurgeon nor an oral/maxillofacial specialist.
I quote from
[Begin quote]
Microvascular decompression provides:
- Immediate, complete relief in 82 percent of current patients treated
- Partial relief, requiring occasional or low-dose medication, in 16 percent of current patients treated
One year after surgery:
- 75 percent of patients continue to enjoy complete pain relief
- 8 percent have partial relief
Major complications occur in fewer than 5 percent of cases.
[End quote]
And this is the cushion technique. Just with a teflon pad instead of a bit of muscle...